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Calculate the expected value of x

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Reference no: EM131651699

Question: The roll of a pair of dice has the following probability distribution, where the random variable x is the sum of the values produced by each die:

x          P(x)

2         1/36

3         2/36

4         3/36

5         4/36

6         5/36

7         6/36

8         5/36

9         4/36

10        3/36

11        2/36

12        1/36

a. Calculate the expected value of x.

b. Calculate the variance of x.

c. Calculate the standard deviation of x.

Reference no: EM131651699

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